# How do you solve 4x-30> -3x+12?

Refer to explanation

#### Explanation:

What you got is called inequality .You need to find the values of variable x that make the inequality true. Hence

$4 x - 30 > - 3 x + 12$
Move -30 to other side and change sign.
$4 x > 30 - 3 x + 12$
Move -3x to other side and change sign as well
$4 x + 3 x > 30 + 12$
$7 x > 42$
Divide by 7 both sides
$\frac{7 x}{7} > \frac{42}{7}$
Simplify
$x > 6$

Hence the values of x that satisfy the inequality belong to interval
$\left(6 , + \infty\right)$

Oct 3, 2015

The answer is $x > 6$ .

#### Explanation:

$4 x - 30 > - 3 x + 12$

Solve as if this were an equation.

Add $30$ to both sides of the inequality.

$4 x > - 3 x + 12 + 30 =$

$4 x > - 3 x + 42$

Add $3 x$ to both sides of the inequality.

$4 x + 3 x > 42 =$

$7 x > 42$

Divide both sides by $7$.

$x > \frac{42}{7} =$

$x > 6$